Least Common Multiple of 54/78, 79/60, 85/92, 85/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/78, 79/60, 85/92, 85/370 quickly i.e. 181305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/78, 79/60, 85/92, 85/370 is 181305.

LCM(54/78, 79/60, 85/92, 85/370) = 181305

LCM of 54/78, 79/60, 85/92, 85/370

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 54/78,79/60,85/92,85/370

Given numbers are 54/78,79/60,85/92,85/370

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 54,79,85,85

Least Common Multiple of Numerators i.e. LCM of 54,79,85,85 is 362610.

GCF of Denominators means GCF of 78,60,92,370 as per the given fractions.

GCF of 78,60,92,370 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,79,85,85

LCM of Fractions 54/78,79/60,85/92,85/370 is 181305

5 54, 79, 85, 85
17 54, 79, 17, 17
54, 79, 1, 1

∴ So the LCM of the given numbers is 5 x 17 x 54 x 79 x 1 x 1 = 362610

Least Common Multiple of 54,79,85,85 with GCF Formula

Least Common Multiple of 54,79,85,85 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 54,79,85,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,79,85,85) = 1

common factors(in case of two or more numbers have common factors) = 85

GCF(54,79,85,85) x common factors =1 x 85 = 85

LCM(54,79,85,85) = ( 54 × 79 × 85 × 85 ) / 85

LCM(54,79,85,85) = 30821850 / 85

LCM(54,79,85,85) = 362610


Lets's calculate GCF of 78,60,92,370

2 78, 60, 92, 370
39, 30, 46, 185

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 362610/2

Therefore the LCM of Fractions 54/78,79/60,85/92,85/370 is 181305

Greatest Common Factor of 78,60,92,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,60,92,370 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 78,60,92,370 . The biggest common factor number is the GCF number.
So the greatest common factor 78,60,92,370 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 54/78, 79/60, 85/92, 85/370

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 54/78, 79/60, 85/92, 85/370?

Answer: LCM of Numerators as per given numbers 54/78, 79/60, 85/92, 85/370 is

LCM of Numerators i.e. for 54,79,85,85 is 362610

GCF of denominators i.e. for 78,60,92,370 is 2.

Thus, LCM of Fractions is 181305.Finally, LCM of Fractions for 54/78, 79/60, 85/92, 85/370 is 181305.